Journal
AUTOMATICA
Volume 46, Issue 11, Pages 1790-1798Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.06.042
Keywords
Stochastic nonlinear systems; SiISS inverse dynamics; Stochastic LaSalle theorem; Small-gain type conditions
Funding
- National Natural Science Foundation of China [60774010, 10971256, 60974127]
- Innovation Program of Graduate Students of Jiangsu Province, China
- Shandong Provincial Natural Science Foundation of China [ZR2009GM008, ZR2009AL014]
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This paper investigates the small-gain type conditions on stochastic iISS (SiISS) systems and makes full use of these conditions in the design and analysis of the controller. The contributions are as follows: (1) A new proof of the stochastic LaSalle theorem is provided; (2) The small-gain type conditions on SiISS are developed and their relationship is discussed; (3) Based on the stochastic LaSalle theorem and SiISS small-gain type conditions, the adaptive controllers are designed to guarantee that all of the closed-loop signals are bounded almost surely and the stochastic closed-loop systems are globally (asymptotically) stable in probability. Crown Copyright (C) 2010 Published by Elsevier Ltd. All rights reserved.
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